Question

What kind of border does the inequality require?

A. Solid line
B. Dotted line
C. No line
D. Double line

Answer 1

A solid line is used for inclusive inequalities where boundary points are included, and a dotted line is used for strict inequalities where boundary points are not included.

Step-by-step explanation:

The kind of border required for an inequality depends on whether the inequality is strict (such as < or >) or inclusive (such as ≤ or ≥). A solid line represents an inclusive inequality, indicating that the boundary is part of the solution set. In contrast, a dotted line represents a strict inequality, meaning the boundary points are not included in the solution set. There is no option for 'no line' or 'double line' with standard linear inequalities on a graph.